GCD of 990, 339, 554, 578 Calculator

Given Input numbers are 990, 339, 554, 578

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 990, 339, 554, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 339, 554, 578 is 1.

Therefore, GCD of numbers 990, 339, 554, 578 is 1

Given Input Data is 990, 339, 554, 578

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 339 is 3 x 113

Prime Factorization of 554 is 2 x 277

Prime Factorization of 578 is 2 x 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(990, 339) = 111870

GCD(990, 339) = ( 990 x 339 ) / 111870

GCD(990, 339) = 335610 / 111870

GCD(990, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 554

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 554) = 1662

GCD(3, 554) = ( 3 x 554 ) / 1662

GCD(3, 554) = 1662 / 1662

GCD(3, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 990, 339, 554, 578 is 1

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1. What is the GCD of 990, 339, 554, 578?

GCD of 990, 339, 554, 578 is 1

2. Where do I get the detailed procedure to find GCD of 990, 339, 554, 578?

You can find a detailed procedure to find GCD of 990, 339, 554, 578 on our page.

3. How to find GCD of 990, 339, 554, 578 on a calculator?

You can find the GCD of 990, 339, 554, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.